SOLUTION: Hello! I am having a tough time solving this problem. It is: Find the true conjecture for the following table. X= 0,1,2,3,4 and y= 3,2,1,0,-1. I know that it starts as y=x+3, t

Algebra ->  Geometry-proofs -> SOLUTION: Hello! I am having a tough time solving this problem. It is: Find the true conjecture for the following table. X= 0,1,2,3,4 and y= 3,2,1,0,-1. I know that it starts as y=x+3, t      Log On


   

Question 1085664: Hello! I am having a tough time solving this problem. It is: Find the true conjecture for the following table. X= 0,1,2,3,4 and y= 3,2,1,0,-1. I know that it starts as y=x+3, then y=x+1, then y=x-1, y=x-3, y=x-5. I know that y for the next set (if given) would be y= x-7. You basically subtract 2 each time, right? I just don't know how to do put this into an equation. Could you please help?
Thank you! Ashley
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given table:
X|y
0|3
1|2
2|1
3|0
4|-1
these are set of points that lie on a line y=mx%2Bb
use two points to find m and b
y=mx%2Bb...........if 0|3, we have
3=m%2A0%2Bb
b=3
y=mx%2B3...........if 3|0, we have
0=m%2A3%2B3
3m=-3
m=-1
and your equation is:y=-x%2B3
check the graph: